Geodesic
Banach space valued mappings of the first Baire class contained in usco mappings
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 2, pp. 269-272

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We prove that any Baire-one usco-bounded function from a metric space to a closed convex subset of a Banach space is the pointwise limit of a usco-bounded sequence of continuous functions.
Classification : 26A21, 54C60, 54E45
Keywords: Baire-one functions; usco map; usco-bounded sequence of continuous functions 
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     author = {Spurn\'y, Ji\v{r}{\'\i}},
     title = {Banach space valued mappings of the first {Baire} class contained in usco mappings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Spurný, Jiří. Banach space valued mappings of the first Baire class contained in usco mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 2, pp. 269-272. http://geodesic.mathdoc.fr/item/CMUC_2007__48_2_a7/